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2 years ago

5

In rod's family 3/4 of members wear glases. Of those who do not wear glasses, 1/3are male. What fraction of the family are males

who do not wear glasses?

1 answer:

sergiy2304 [10]2 years ago

5 0

<span>(1/4) * (1/3) = 1/12.</span>

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197 people ride the bus in the morning. 10 less than 84 people ride the bus in the evening. How many people ride the bus in all?

SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

128

7 0

2 years ago

Prove the following using a proof by contradiction:The average of four real numbers is greater than or equal to at least one of

skelet666 [1.2K]

Answer:

By contradiction it can be proved that:

Average of four real numbers will be greater than or equal to at least one of the four real numbers.

Step-by-step explanation:

Method of contradiction means we assume opposite to the facts to be proved and then we contradict our assumption.

As a result, we prove the fact.

Here, let the four number be:

$p, q, r, s$

The average will be Sum of all numbers divided by count of numbers.

$\dfrac{p+ q+ r+ s}4$

Now, let us assume the opposite that the average is less than all the numbers.

i.e.

$\dfrac{p+ q+ r+ s}4$

$\dfrac{p+ q+ r+ s}4$

Now, let us add all of them:

$\dfrac{p+ q+ r+ s}4 +\dfrac{p+ q+ r+ s}4 +\dfrac{p+ q+ r+ s}4 +\dfrac{p+ q+ r+ s}4 < p+q+r+s\\\Rightarrow \dfrac{4(p+q+r+s)}4$

Which can never be possible hence, our assumption is contradicted.

our assumption is wrong.

Therefore, by contradiction it is proved that:

Average of four real numbers will be greater than or equal to at least one of the four real numbers.

8 0

2 years ago

N ΔCAB, if the measure of segment AB is 8 units and the measure of segment segment AC is 5 units, which of the following could b

muminat

Answer:

∴Third side = 12 units

Step-by-step explanation:

In ΔCAB, the measure of segment AB is 8 units and the measure of segment AC is 5 units.

The sum of two sides of a triangle always grater than third side.

Therefore,

(5+8)=13 units

third side<13

∴Third side = 12 units

4 0

2 years ago

Consider the continuous random variable X, which has a uniform distribution over the interval from 20 to 28.

anastassius [24]

Answer:

a) The probability distribution is $f(x) = \frac{1}{8}$

b) 0.5 = 50% probability that X will take on a value between 21 and 25.

c) 0.25 = 25% probability that X will take on a value of at least 26.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

$P(X < x) = \frac{a - x}{b - a}$

The probability of finding a value between c and d is:

$P(c \leq X \leq d) = \frac{d - c}{b - a}$

The probability of finding a value above x is:

$P(X > x) = \frac{b - x}{b - a}$

Uniform distribution over the interval from 20 to 28.

This means that $a = 20, b = 28$

a. What’s the probability density function?

The probability density function of the uniform distribution is:

$f(x) = \frac{1}{b - a}$

In this question:

$f(x) = \frac{1}{28 - 20} = \frac{1}{8}$

b. What’s the probability that X will take on a value between 21 and 25?

$P(21 \leq X \leq 25) = \frac{25 - 21}{28 - 20} = \frac{4}{8} = 0.5$

0.5 = 50% probability that X will take on a value between 21 and 25.

c. What’s the probability that X will take on a value of at least 26?

$P(X > 26) = \frac{28 - 26}{28 - 20} = \frac{2}{8} = 0.25$

0.25 = 25% probability that X will take on a value of at least 26.

4 0

2 years ago

Craig has $1850 dollars in a bank account that he uses to make automatic payments of $400.73 on his car loan. If Craig stops mak

Ivenika [448]

Given:

Amount in the bank account = $1850

Monthly payment of can loan = $400.73

To find:

When would automatic payments make the value of the account zero?

Solution:

Craig stops making deposits to that account. So, amount $1850 in the bank account is used to make monthly payment of can loan.

On dividing the amount by monthly payment, we get

$\dfrac{1850}{400.73}=4.61657$

It means, the amount is sufficient for 4 payment but for the 5th payment the amount is not sufficient.

Therefore, the 5th automatic payments make the value of the account zero.

6 0

2 years ago